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Finding the Fourth Proportional to 193,677.72, 290,508.66 and 53,432.76

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Solution

The fourth proportional to 193,677.72, 290,508.66 and 53,432.76 is: 80,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,677.72 : 290,508.66 = 53,432.76 : x
  2. Step 2: Convert to fraction form
    193,677.72/290,508.66 = 53,432.76/x
  3. Step 3: Cross multiply
    193,677.72x = 290,508.66 × 53,432.76
  4. Step 4: Simplify right side
    193,677.72x = 15,522,679,507.70
  5. Step 5: Solve for x
    x = 15,522,679,507.70/193,677.72
  6. Step 6: Final answer
    x = 80,146.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.